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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E49">Th143</font></span>: <a NAME="T143"><span class="comment"><font color="firebrick">:: ZMODUL01:143</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="vectsp_2.html#NM5" title="VECTSP_2:NM.5">LeftMod</a> of <font color="Olive" title="b1">R</font> holds   <a href="lattices.html#G3" title="LATTICES:aggr.3">LattStr</a>(# <span class="p1">(<span class="default"><a href="zmodul01.html#NK2" title="ZMODUL01:NK.2">Submodules</a> <font color="Olive" title="b2">V</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K5" title="VECTSP_5:func.5">SubJoin</a> <font color="Olive" title="b2">V</font></span>)</span>,<span class="p1">(<span class="default"><a href="vectsp_5.html#K6" title="VECTSP_5:func.6">SubMeet</a> <font color="Olive" title="b2">V</font></span>)</span> #) is   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="vectsp_5.html#T57" onmouseover="rs('vectsp_5/T57')" onmouseout="rh()">VECTSP_5:57</a></span>;<br/></div></div>
